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Finding the Third Proportional to 121,114 and 260,739

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Solution

The third proportional to 121,114 and 260,739 is: 561,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114 : 260,739 = 260,739 : x
  2. Step 2: Convert to fraction form
    121,114/260,739 = 260,739/x
  3. Step 3: Cross multiply
    121,114x = 260,739 × 260,739
  4. Step 4: Simplify right side
    121,114x = 67,984,826,121
  5. Step 5: Solve for x
    x = 67,984,826,121/121,114
  6. Step 6: Final answer
    x = 561,329.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.